Difference between revisions of "AoPS Wiki talk:Problem of the Day/June 29, 2011"

Latest revision as of 17:48, 1 July 2011

First we have the question: $(ab+1)(a+1)(b+1)+ab$

We multiply $(a+1)(b+1)$ to get $(ab+1+a+b)$

This makes the equation $(ab+1)(ab+1+a+b)+ab$

Now we seperate the equation to $(ab+1)(ab+1)+(ab+1)(a+b)+ab$

We get $(ab+1)^2 +(a+b)(ab+1)+ab$

Now this is just a quadratic equation

Thus we get a factored form of:

$\boxed{(ab+1+a)(ab+1+b)}$

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 {{:AoPSWiki:Problem of the Day/June 29, 2011}}
 ==Solution==
-{{potd_solution}}
 First we have the question: <math>(ab+1)(a+1)(b+1)+ab</math>